- Multiple Rota-Baxter algebra and multiple Rota-Baxter modules
2025/04/23 by Jun He, Xiaosong Peng, He, Jun +3 · 1 citation
Computer Science · Mathematics · #05E16 #16S10 #16W99 #17B38 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
- Some new operated Lie polynomial identities and Gröbner-Shirshov bases
2024/04/22 by Zhang, Huhu, Gao, Xing, Wu, Tingzeng +1 · 1 citation
#05A05 #16W99 #18M70 #FOS: Mathematics #Rings and Algebras (math.RA)
- Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras
2024/02/25 by Hong, Yanyong, Bai, Chengming, Guo, Li · 4 citations
#13N10 #16S80 #16T10 #16T25 #16W99 #17A30 #17B38 #17D25 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- A survey on Zariski cancellation problems for noncommutative and Poisson algebras
2023/04/12 by Hongdi Huang, Xin Tang, Huang, Hongdi +3 · 2 citations
Mathematics · #16P99 #16W99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Holomorphic and Operator Theory #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
- Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms
2022/04/03 by Das, Apurba, Hazra, Samir Kumar, Mishra, Satyendra Kumar · 2 citations
#16S80 #16W99 #17B10 #17B56 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras
2021/12/21 by Bai, Chengming, Guo, Li, Ma, Tianshui · 5 citations
#16T05 #16T10 #16T25 #16W99 #17A30 #17B38 #17B62 #57R56 #81$60 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees
2021/04/09 by Zhang, Xigou, Xu, Anqi, Guo, Li · 1 citation
#05E16 #16S10 #16T05 #16T30 #16W99 #17B38 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)
- Cohomology and deformations of O-operators on Hom-associative algebras
2021/04/08 by Taoufik Chtioui, Sami Mabrouk, Chtioui, Taoufik +3 · 2 citations
Mathematics · #16E40 #16S80 #16W99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
- Operator forms of nonhomogeneous associative classical Yang-Baxter equation
2020/07/21 by Bai, Chengming, Gao, Xing, Guo, Li +1 · 1 citation
#16W99 #17A30 #17B38 #57R56 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
- Modules of polynomial Rota-Baxter Algebras and matrix equations
2020/03/12 by Tang, Xiaomin · 1 citation
#12H20 #16W99 #45N05 #FOS: Mathematics #Representation Theory (math.RT)
- Free pre-Lie family algebras
2020/03/02 by Manchon, Dominique, Zhang, Yuanyuan · 4 citations
#08B20 #16S10 #16W99 #FOS: Mathematics #Rings and Algebras (math.RA)
- Free Rota-Baxter family algebras and Free (tri)dendriform family algebras
2020/02/10 by Zhang, Yuanyuan, Gao, Xing, Manchon, Dominique · 1 citation
#08B20 #13P10 #16S10 #16W99 #FOS: Mathematics #Rings and Algebras (math.RA)
- Cancellation of Morita and Skew Types
2020/01/18 by Xin Tang, James J. Zhang, Tang, Xin +3 · 1 citation
Mathematics · #16P99 #16W99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Deformations of associative Rota-Baxter operators
2019/09/18 by Das, Apurba · 4 citations
#16E40 #16S80 #16W99 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Diagonal p-permutation functors
2019/07/30 by Bouc, Serge, Yılmaz, Deniz · 2 citations
#16W99 #18B99 #20J15 #Category Theory (math.CT) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)
- Weighted infinitesimal unitary bialgebras on matrix algebras and weighted associative Yang-Baxter equations
2018/11/02 by Zhang, Yi, Gao, Xing, Zheng, Jia-wen · 1 citation
#15A30 #16T10 #16W99 #17B60 #17D25 #FOS: Mathematics #Rings and Algebras (math.RA)
- Zariski cancellation problem for non-domain noncommutative algebras
2017/11/21 by Lezama, O., Wang, Y. -H., Zhang, J. J. · 1 citation
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- Representations of Polynomial Rota-Baxter Algebras
2017/09/01 by Qiao, Li, Pei, Jun · 1 citation
#12H20 #16G99 #16W99 #45N05 #FOS: Mathematics #Representation Theory (math.RT)
- Rota-Baxter Coalgebras
2014/09/10 by Run-Qiang Jian, Jiao Zhang, Jian, Run-Qiang +1 · 1 citation
Mathematics · #16W30 #16W99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
- Plethystic algebra
2004/07/13 by James Borger, Borger, James, Ben Wieland +1 · 2 citations
Computer Science · Mathematics · #13K05 (Primary) 13A99 #14F30 #16W30 #16W99 #19A99 (Secondary) #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #math.AC #math.NT #msc:13A99 #msc:13K05 #msc:14F30 #msc:16W30 #msc:16W99 #msc:19A99